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Cyclicity in families of circle maps
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Kozlovski, O. (2013) Cyclicity in families of circle maps. Ergodic Theory and Dynamical Systems, Volume 33 (Number 05). pp. 1502-1518. doi:10.1017/etds.2013.24 ISSN 0143-3857.
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Official URL: http://dx.doi.org/10.1017/etds.2013.24
Abstract
In this paper we will study families of circle maps of the form x↦x+2πr+af(x)(mod2π) and investigate how many periodic trajectories maps from this family can have for a ‘typical’ function f provided the parameter a is small.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Ergodic theory, Diffeomorphisms, Differential topology | ||||
Journal or Publication Title: | Ergodic Theory and Dynamical Systems | ||||
Publisher: | Cambridge University Press | ||||
ISSN: | 0143-3857 | ||||
Official Date: | October 2013 | ||||
Dates: |
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Volume: | Volume 33 | ||||
Number: | Number 05 | ||||
Page Range: | pp. 1502-1518 | ||||
DOI: | 10.1017/etds.2013.24 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access | ||||
Date of first compliant deposit: | 25 December 2015 | ||||
Date of first compliant Open Access: | 25 December 2015 |
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